SemiBase

A certified basis of 16 identities

This list of identities is a basis, proved in Lean, of [6, 5596], which generates the variety V[5596]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-cbb3903dad83d03c in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x³y ≈ x²y
  3. x²yx ≈ xyx²
  4. x²y² ≈ xyxy
  5. x²y²x ≈ x²y³
  6. x²yz ≈ xyxz
  7. xyzx ≈ xzyx
  8. xyzy ≈ xzy²
  9. xyzt ≈ xzyt
  10. xyzt ≈ xzyt
  11. xyzt ≈ xzyt
  12. xyzt ≈ xzyt
  13. xyzt ≈ xzyt
  14. xyztx ≈ xytzx
  15. xyztx ≈ xytzx
  16. xyztx ≈ xytzx